My Double Integrals!

Calculus Level 3

012012yxy dx dy \large \displaystyle \int_0^{\frac {1}{2} } \int_0^{1-2y} xy \ \mathrm d x \ \mathrm d y

If the above integral is in the form of ab \frac {a}{b} for coprime positive integers, a,ba,b. Find the value of a+ba+b.

Image Credit: Wikimedia Volume under surface by Oleg Alexandrov
×

Problem Loading...

Note Loading...

Set Loading...